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Anomalous diffusion of the cosmic rays: steady-state solution

2001/07/14 by A. A. Lagutin, А. А. Лагутин, Lagutin, A. A. +4
Physics and Astronomy · Social Sciences · #Astrophysics (astro-ph) #Astrophysics and Cosmic Phenomena #Evolving Legal Systems and Governance #FOS: Physical sciences #astro-ph

paper · pdf · doi:10.48550/arxiv.astro-ph/0107253

3 pages; Proc. of the 27th ICRC

arxiv created 2001/07/14 · openalex publication_date 2001/07/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the propagation of galactic cosmic rays in the fractal interstellar medium. Steady state solution of the fractional diffusion equation, describing cosmic ray propagation, is found. We show that the exponent of the steady state spectrum turns out to be equal to the exponent of the cosmic ray spectrum above the "knee", that is approximately equal to 3.1.

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